Worksheet on Third Grade Fractions

Worksheet on third grade fractions is a great resource for children to practice the different types of questions on fraction. The questions are based on identifying the numerator and denominator of the given fraction; compare the pairs of fraction using less than (<), greater than (>) and equal (=) symbol; finding the equivalent of the given fractions; verifying whether the two fractions are equivalent; identifying proper and improper fractions; adding fractions; subtracting fractions and word problems on fractions.

1. Draw a circle and express 1/3 using colors

2. Draw a rectangle box and express 3/3 using colors

3. Draw a square box and express 2/3 using colors

4. Write the numerator and denominator of the following fraction:

(i) 7/15

(ii) 15/11

(iii) 24/25

(iv) 1/7

5. Write the fractions in words -

(i) \(\frac{1}{2}\)   _________________________

(ii) \(\frac{3}{6}\)   _________________________

(iii) \(\frac{2}{4}\)   _________________________

(iv) \(\frac{1}{3}\)   _________________________

6. Fill in the blanks:

(i) When we divide something into two equal parts it is called ________ .

(ii) When we divide something into four equal parts it is called ________.

(iii) \(\frac{3}{4}\) is written in words as ____________________ .

(iv) In \(\frac{9}{3}\) the denominator is ____________________ .

(v) In \(\frac{6}{2}\) the numerator is ____________________ .

7. Tick (✓) the correct options:

(i) Three fifth is written in figure as-

(a) \(\frac{3}{4}\);     (b) \(\frac{1}{3}\);     (c) \(\frac{3}{5}\);     (d) \(\frac{3}{6}\)

(ii) Four sixth is written as-

(a) \(\frac{6}{4}\);     (b) \(\frac{1}{4}\);     (c) \(\frac{3}{4}\);     (d) \(\frac{4}{6}\)

(iii) \(\frac{1}{4}\) is written in words as -

(a) three fourth;     (b) one half;     (c) one fourth;     (d) two fourth

(iv) \(\frac{6}{2}\) is written in words as -

(a) two sixth;     (b) sixth two;     (c) one sixth;     (d) three sixth

8. State 'T for True and 'F for False:

(i) In \(\frac{8}{2}\) numerator is 2.

(ii) In \(\frac{8}{2}\) denominator is 1.

(iii) One half is divided into two parts.

(iv) One fourth is divided into four parts.

(v) Is six divisible by two.

9. Put in ascending order:

 \(\frac{1}{3}\), \(\frac{1}{2}\), \(\frac{3}{4}\), \(\frac{1}{4}\), \(\frac{2}{3}\)         →     _____, _____, _____, _____, _____ .

10. Write > or < or = between the following fractions:

(i) 1/5 ______ 1/6

(ii) 2/3 ______ 4/6

(iii) 1/8 ______ 1/7

(iv) 5/3 ______ 4/3

(v) 4/7 ______ 5/7

(vi) 7/16 ______ 7/19

11. Find the value of:

(i) 1/3 of 12

(ii) 2/7 of 28

(iii) 3 fourths of 32

(iv) 4 thirds of 30

12. Find three equivalents of:

(i) 1/7

(ii) 3/11

13. Verify whether the following fractions are equivalent:

(i) 2/15 and 6/45

(ii) 4/9 and 12/36

(iii) 8/35 and 16/70

14. Sort out the proper and improper fractions:

7/8, 15/16, 15/8, 8/5, 9/28, 6/5, 45/47, 47/38

15. Add the following fractions:

(i) 7/8 + 5/8

(ii) 1/12 + 7/12 + 5/12

(iii) 9/35 + 8/35

(iv) 2/15 + 7/15 + 13/15

16. Subtract the following fractions:

(i) 9/16 - 3/16

(ii) 17/17 - 5/17

(iii) 1 - 8/21

(iv) 21/8 - 13/8

Now, we will practice the word problems provided in the worksheet on third grade fractions. 

17. What should be added to 1/3 to make it 5/3?

18. What should be subtracted from 15/7 to get 1?

19. What is the difference between 15/22 and 13/22?

20. Aaron purchased 12 mangoes and ate 1/4 of them. How many mangoes are left?

21. Calvin spent half of his money on books and one-fourth on exercise books. What part of his money was spent and what of his money is left?

22. A book has 68 pages. Shelly read 1/4 th of them in one day. How many pages has she read and how many pages are left to be read?

23. What should be subtracted from 1 to get 1/3?

24. What should be added to 2/7 to make it 1?

25. What is the sum of 18/25 and 7/25?

Answers for the worksheet on third grade fractions are given below to check the exact answers of above basic questions on fractional numbers.

Answers:

        The circle is expressing 1/3.

        The rectangle is expressing 3/3.

        The square is expressing 2/3.

4. (i) numerator 7 and denominator 15

(ii) numerator 15 and denominator 11

(iii) numerator 24 and denominator 25

(iv) numerator 1 and denominator 7

5. (i) one half

(ii) three sixth

(iii) two fourth

(iv) one third

6. (i) one half

(ii) one fourth

(iii) three fourth

(iv) 3

(v) 6

7. (i) (c) \(\frac{3}{5}\)

(ii) (d) \(\frac{4}{6}\)

(iii) (c) one fourth

(iv) (b) sixth two

8. (i) F

(ii) F

(iii) T

(iv) T

(v) T

9. \(\frac{1}{4}\), \(\frac{1}{3}\), \(\frac{1}{2}\), \(\frac{2}{3}\), \(\frac{3}{4}\)

10. (i) >

(ii) =

(iii) <

(iv) >

(v) <

(vi) >

11. (i) 4

(ii) 8

(iii) 24

(iv) 40

12. (i) 2/14, 3/21, 4/28

(ii) 6/22, 9/33, 14/44

13. (i) yes

(ii) no

(iii) yes

14. Proper fractions: 7/8, 15/16, 9/28, 45/47

Improper fractions: 15/8, 8/5, 6/5, 47/38

15. (i) 12/8

(ii) 13/12

(iii) 17/35

(iv) 22/15

16. (i) 6/16

(ii) 12/17

(iii) 13/21

(iv) 8/8 = 1

17. 4/3

18. 8/7  

19. 2/22

20. 9 mangoes

21. 3/4 spent, 1/4 left

22. Shelly read 17 pages, pages left 51

23. 2/3

24. 5/7

25. 25/25 = 1

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